8272728 has 48 divisors (see below), whose sum is σ = 22674600. Its totient is φ = 2724480.

The previous prime is 8272723. The next prime is 8272751.

8272728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8272692 and 8272701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5763 + ... + 7053.

Almost surely, 2^8272728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337300).

8272728 is an abundant number, since it is smaller than the sum of its proper divisors (14401872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8272728 is a wasteful number, since it uses less digits than its factorization.

8272728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 8272728 is about 2876.2350390745. The cubic root of 8272728 is about 202.2473850443.

The spelling of 8272728 in words is "eight million, two hundred seventy-two thousand, seven hundred twenty-eight".